In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the left boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends to zero.
Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition
C. D'Apice;U. DE Maio
2020-01-01
Abstract
In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the left boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends to zero.File in questo prodotto:
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